diff --git a/lib/node_modules/@stdlib/constants/float16/eulergamma/README.md b/lib/node_modules/@stdlib/constants/float16/eulergamma/README.md new file mode 100644 index 000000000000..827afd36a67b --- /dev/null +++ b/lib/node_modules/@stdlib/constants/float16/eulergamma/README.md @@ -0,0 +1,105 @@ + + +# FLOAT16_EULER_GAMMA + +> The [Euler–Mascheroni constant][eulergamma]. + +
+ +The [Euler–Mascheroni constant][eulergamma] `γ` is defined as the limiting difference between the harmonic series and the natural logarithm: + + + +```math +\gamma = \lim_{n \to \infty} \left( \sum_{k=1}^{n} \frac{1}{k} - \ln(n) \right) +``` + + + +
+ + + +
+ +## Usage + +```javascript +var FLOAT16_EULER_GAMMA = require( '@stdlib/constants/float16/eulergamma' ); +``` + +#### FLOAT16_EULER_GAMMA + +The [Euler–Mascheroni constant][eulergamma]. + +```javascript +var bool = ( FLOAT16_EULER_GAMMA === 0.5771484375 ); +// returns true +``` + +
+ + + +
+ +## Notes + +The value is approximately `0.5772156649015328606...` in double precision. Due to the limited precision of half-precision floating-point format (float16), the constant is rounded to `0.5771484375`. + +
+ + + +
+ +## Examples + + + +```javascript +var FLOAT16_EULER_GAMMA = require( '@stdlib/constants/float16/eulergamma' ); + +console.log( FLOAT16_EULER_GAMMA ); +// => 0.5771484375 +``` + +
+ + + + + + + + + + + + + + diff --git a/lib/node_modules/@stdlib/constants/float16/eulergamma/docs/repl.txt b/lib/node_modules/@stdlib/constants/float16/eulergamma/docs/repl.txt new file mode 100644 index 000000000000..f28cf3390494 --- /dev/null +++ b/lib/node_modules/@stdlib/constants/float16/eulergamma/docs/repl.txt @@ -0,0 +1,12 @@ + +{{alias}} + The Euler–Mascheroni constant `γ`. + + Examples + -------- + > {{alias}} + 0.5771484375 + + See Also + -------- + diff --git a/lib/node_modules/@stdlib/constants/float16/eulergamma/docs/types/index.d.ts b/lib/node_modules/@stdlib/constants/float16/eulergamma/docs/types/index.d.ts new file mode 100644 index 000000000000..ca442d07be8c --- /dev/null +++ b/lib/node_modules/@stdlib/constants/float16/eulergamma/docs/types/index.d.ts @@ -0,0 +1,33 @@ +/* +* @license Apache-2.0 +* +* Copyright (c) 2025 The Stdlib Authors. +* +* Licensed under the Apache License, Version 2.0 (the "License"); +* you may not use this file except in compliance with the License. +* You may obtain a copy of the License at +* +* http://www.apache.org/licenses/LICENSE-2.0 +* +* Unless required by applicable law or agreed to in writing, software +* distributed under the License is distributed on an "AS IS" BASIS, +* WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. +* See the License for the specific language governing permissions and +* limitations under the License. +*/ + +// TypeScript Version: 4.1 + +/** +* The Euler–Mascheroni constant `γ`. +* +* @example +* var val = FLOAT16_EULER_GAMMA; +* // returns 0.5771484375 +*/ +declare const FLOAT16_EULER_GAMMA: number; + + +// EXPORTS // + +export = FLOAT16_EULER_GAMMA; diff --git a/lib/node_modules/@stdlib/constants/float16/eulergamma/docs/types/test.ts b/lib/node_modules/@stdlib/constants/float16/eulergamma/docs/types/test.ts new file mode 100644 index 000000000000..827458942874 --- /dev/null +++ b/lib/node_modules/@stdlib/constants/float16/eulergamma/docs/types/test.ts @@ -0,0 +1,28 @@ +/* +* @license Apache-2.0 +* +* Copyright (c) 2025 The Stdlib Authors. +* +* Licensed under the Apache License, Version 2.0 (the "License"); +* you may not use this file except in compliance with the License. +* You may obtain a copy of the License at +* +* http://www.apache.org/licenses/LICENSE-2.0 +* +* Unless required by applicable law or agreed to in writing, software +* distributed under the License is distributed on an "AS IS" BASIS, +* WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. +* See the License for the specific language governing permissions and +* limitations under the License. +*/ + +import FLOAT16_EULER_GAMMA = require( './index' ); + + +// TESTS // + +// The export is a number... +{ + // eslint-disable-next-line @typescript-eslint/no-unused-expressions + FLOAT16_EULER_GAMMA; // $ExpectType number +} diff --git a/lib/node_modules/@stdlib/constants/float16/eulergamma/examples/index.js b/lib/node_modules/@stdlib/constants/float16/eulergamma/examples/index.js new file mode 100644 index 000000000000..1030da7f8ccc --- /dev/null +++ b/lib/node_modules/@stdlib/constants/float16/eulergamma/examples/index.js @@ -0,0 +1,24 @@ +/** +* @license Apache-2.0 +* +* Copyright (c) 2025 The Stdlib Authors. +* +* Licensed under the Apache License, Version 2.0 (the "License"); +* you may not use this file except in compliance with the License. +* You may obtain a copy of the License at +* +* http://www.apache.org/licenses/LICENSE-2.0 +* +* Unless required by applicable law or agreed to in writing, software +* distributed under the License is distributed on an "AS IS" BASIS, +* WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. +* See the License for the specific language governing permissions and +* limitations under the License. +*/ + +'use strict'; + +var FLOAT16_EULER_GAMMA = require( './../lib' ); + +console.log( FLOAT16_EULER_GAMMA ); +// => 0.5771484375 diff --git a/lib/node_modules/@stdlib/constants/float16/eulergamma/lib/index.js b/lib/node_modules/@stdlib/constants/float16/eulergamma/lib/index.js new file mode 100644 index 000000000000..21679dd39f61 --- /dev/null +++ b/lib/node_modules/@stdlib/constants/float16/eulergamma/lib/index.js @@ -0,0 +1,49 @@ +/** +* @license Apache-2.0 +* +* Copyright (c) 2025 The Stdlib Authors. +* +* Licensed under the Apache License, Version 2.0 (the "License"); +* you may not use this file except in compliance with the License. +* You may obtain a copy of the License at +* +* http://www.apache.org/licenses/LICENSE-2.0 +* +* Unless required by applicable law or agreed to in writing, software +* distributed under the License is distributed on an "AS IS" BASIS, +* WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. +* See the License for the specific language governing permissions and +* limitations under the License. +*/ + +'use strict'; + +/** +* The Euler–Mascheroni constant `γ`. +* +* @module @stdlib/constants/float16/eulergamma +* @type {number} +* +* @example +* var FLOAT16_EULER_GAMMA = require( '@stdlib/constants/float16/eulergamma' ); +* // returns 0.5771484375 +*/ + + +// MAIN // + +/** +* The Euler–Mascheroni constant `γ`. +* +* @constant +* @type {number} +* @default 0.5771484375 +* @see [OEIS]{@link http://oeis.org/A001620} +* @see [Wikipedia]{@link https://en.wikipedia.org/wiki/Euler-Mascheroni_constant} +*/ +var FLOAT16_EULER_GAMMA = 0.5771484375; + + +// EXPORTS // + +module.exports = FLOAT16_EULER_GAMMA; diff --git a/lib/node_modules/@stdlib/constants/float16/eulergamma/package.json b/lib/node_modules/@stdlib/constants/float16/eulergamma/package.json new file mode 100644 index 000000000000..768f3c1f845d --- /dev/null +++ b/lib/node_modules/@stdlib/constants/float16/eulergamma/package.json @@ -0,0 +1,65 @@ +{ + "name": "@stdlib/constants/float16/eulergamma", + "version": "0.0.0", + "description": "Half-precision (float16) approximation of the Euler–Mascheroni constant.", + "license": "Apache-2.0", + "author": { + "name": "The Stdlib Authors", + "url": "https://github.com/stdlib-js/stdlib/graphs/contributors" + }, + "contributors": [ + { + "name": "The Stdlib Authors", + "url": "https://github.com/stdlib-js/stdlib/graphs/contributors" + } + ], + "main": "./lib", + "directories": { + "doc": "./docs", + "example": "./examples", + "lib": "./lib", + "test": "./test" + }, + "types": "./docs/types", + "scripts": {}, + "homepage": "https://github.com/stdlib-js/stdlib", + "repository": { + "type": "git", + "url": "git://github.com/stdlib-js/stdlib.git" + }, + "bugs": { + "url": "https://github.com/stdlib-js/stdlib/issues" + }, + "dependencies": {}, + "devDependencies": {}, + "engines": { + "node": ">=0.10.0", + "npm": ">2.7.0" + }, + "os": [ + "aix", + "darwin", + "freebsd", + "linux", + "macos", + "openbsd", + "sunos", + "win32", + "windows" + ], + "keywords": [ + "stdlib", + "stdmath", + "constant", + "const", + "mathematics", + "math", + "euler", + "eulergamma", + "gamma", + "ieee754", + "float", + "floating-point", + "float16" + ] +} diff --git a/lib/node_modules/@stdlib/constants/float16/eulergamma/test/test.js b/lib/node_modules/@stdlib/constants/float16/eulergamma/test/test.js new file mode 100644 index 000000000000..9d84e466510b --- /dev/null +++ b/lib/node_modules/@stdlib/constants/float16/eulergamma/test/test.js @@ -0,0 +1,38 @@ +/** +* @license Apache-2.0 +* +* Copyright (c) 2025 The Stdlib Authors. +* +* Licensed under the Apache License, Version 2.0 (the "License"); +* you may not use this file except in compliance with the License. +* You may obtain a copy of the License at +* +* http://www.apache.org/licenses/LICENSE-2.0 +* +* Unless required by applicable law or agreed to in writing, software +* distributed under the License is distributed on an "AS IS" BASIS, +* WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. +* See the License for the specific language governing permissions and +* limitations under the License. +*/ + +'use strict'; + +// MODULES // + +var tape = require( 'tape' ); +var FLOAT16_EULER_GAMMA = require( './../lib' ); + + +// TESTS // + +tape( 'main export is a number', function test( t ) { + t.ok( true, __filename ); + t.strictEqual( typeof FLOAT16_EULER_GAMMA, 'number', 'main export is a number' ); + t.end(); +}); + +tape( 'export is a half-precision floating-point number equal to 0.5771484375', function test( t ) { + t.strictEqual( FLOAT16_EULER_GAMMA, 0.5771484375, 'returns expected value' ); + t.end(); +});